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maude: confluence / critical-pair checking (12 tests, 274 total)
lib/maude/confluence.sx — two-sided syntactic unification (occurs-checked) →
critical pairs from LHS overlaps → joinability via AC-canonical normal forms.
mau/confluent? / mau/non-joinable-pairs / mau/critical-pairs / mau/cp->str.
Catches f(a)=b,a=c (b <?> f(c)); peano/idempotent/AC confirmed confluent.
Syntactic overlaps (AC under-approximated, joinability uses canon). This is
the CID-stability oracle for the artdag optimiser.

Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>
2026-06-07 20:18:33 +00:00

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# maude scoreboard
**274 / 274 passing** (0 failure(s)).
| Suite | Passed | Total | Status |
|-------|--------|-------|--------|
| parse | 65 | 65 | ok |
| reduce | 26 | 26 | ok |
| matching | 28 | 28 | ok |
| confluence | 12 | 12 | ok |
| conditional | 19 | 19 | ok |
| owise | 8 | 8 | ok |
| gather | 7 | 7 | ok |
| sorts | 14 | 14 | ok |
| rewrite | 21 | 21 | ok |
| searchpath | 8 | 8 | ok |
| strategy | 19 | 19 | ok |
| meta | 18 | 18 | ok |
| pretty | 11 | 11 | ok |
| run | 10 | 10 | ok |
| effects | 8 | 8 | ok |